Chinese Optics, Volume. 17, Issue 3, 586(2024)

Rotary error modeling and assembly optimization of parallel structure shafting

Yi-ming DONG1,2,3, Bo JIANG1,3、*, Xiang-yu LI1,3, You-jin XIE1,3, Tao LV1,3, and Ping RUAN1,3
Author Affiliations
  • 1Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi’an 710119, China
  • 2University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Key Laboratory of Space Precision Measurement Technology, Chinese Academy of Sciences, Xi’an 710119, China
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    Figures & Tables(12)
    Schematic diagram of motion error
    Schematic diagram of local parallel structure
    Shaft structure and rotary error measurement
    PSO convergence curve
    Sensitivity analysis
    Geometric measurement
    Journal runout
    Optimized 3D surface
    Assembly error compensation
    • Table 1. Geometric deviation items and numbers of elevation axle

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      Table 1. Geometric deviation items and numbers of elevation axle

      零件名坐标系误差项编号
      固定端轴承o1δ(x), δ(y), δ(z), θ(y), θ(z)1, 2, 3, 4, 5
      固定端轴套o2δ(x), δ(y), δ(z), θ(y), θ(z)6, 7, 8, 9, 10
      固定端法兰o3δ(x), δ(y), δ(z), θ(y), θ(z)11, 12, 13, 14, 15
      游动端法兰o4δ(x), δ(y), δ(z), θ(y), θ(z)16, 17, 18, 19, 20
      游动端轴承o5δ(y), θ(z)21, 22
      游动端轴套o6δ(x), δ(y), δ(z), θ(y), θ(z)23, 24, 25, 26, 27
    • Table 2. Shafting motion model parameters

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      Table 2. Shafting motion model parameters

      参数名数值
      E1[±0.005, ±0.020, ±0.020, 0, ±9.696×10−6, ±9.696×10−6]T
      E2[±0.005, ±0.005, ±0.005, 0, ±9.696×10−6, ±9.696×10−6]T
      E3[±0.005, ±0.005, ±0.005, 0, ±9.696×10−6, ±9.696×10−6]T
      E4[±0.010, ±0.010, ±0.010, 0, ±8.242×10−6, ±8.242×10−6]T
      E5[0, ±0.010, ±0.010, 0, 0, 0]T
      E6[±0.005, ±0.020, ±0.020, 0, ±9.696×10−6, ±9.696×10−6]T
      L1250 mm
      L21100 mm
      L3200 mm
      L4150 mm
    • Table 3. Measurement results

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      Table 3. Measurement results

      转角/rad跳动量/μm顺时针逆时针
      X/″Y/″$ \sqrt{X^{2}+Y^{2}} $X/″Y/″$ \sqrt{X^{2}+Y^{2}} $
      000000.50.20.54
      0.5241.71.52.271.90.82.06
      1.0532.21.72.7831.53.35
      1.5752.81.63.223.31.23.51
      2.0922.30.32.322.6−0.12.60
      2.6231.60.21.611.50.51.58
      3.1450.61.91.990.72.12.21
      3.67101.33.33.5513.13.26
      4.1992.13.33.911.933.55
      4.7172.323.052.51.73.02
      5.2441.111.4910.31.04
      5.761−0.1−0.30.320.1−0.10.14
      6.2810.4−0.10.410.4−0.10.42
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    Yi-ming DONG, Bo JIANG, Xiang-yu LI, You-jin XIE, Tao LV, Ping RUAN. Rotary error modeling and assembly optimization of parallel structure shafting[J]. Chinese Optics, 2024, 17(3): 586

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    Paper Information

    Category: Original Article

    Received: Sep. 28, 2023

    Accepted: Nov. 24, 2023

    Published Online: Jul. 31, 2024

    The Author Email:

    DOI:10.37188/CO.2023-0171

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